Question

Given below are the analysis of variance results from a Minitab display. Assume you want to...

Given below are the analysis of variance results from a Minitab display. Assume you want to use a 0.05 significance level to test the null hypothesis that the 3 samples come from populations with the same mean. Based on these results, what can you conclude about the equality of the 3 population means? Briefly explain. Please show work, if any. Thank you in advance.

DF

SS

MS

   F

    p

Factor

3

13.50

4.50

5.17

0.011

Error

16

13.925

0.870

Total

19

27.425

Homework Answers

Answer #1

ANS

Hypothesis:  

H0: µ1 = µ2 = µ3

HA: µ1 ≠ µ2 ≠ µ3

where,

µ1, µ2, µ3 are the population means

Minitab Results

DF SS MS    F     p
Factor 3 13.5 4.5 5.17 0.011
Error 16 13.925 0.87
Total 19 27.425

here,

P-Value (0.011) <0.05 (significance level) then we reject the H0

Conclusion:

We have sufficient evidence to conclude that 3 population mean are different or 3 samples not come from populations with the same mean.

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